Mutual Backscratchability Report

Grade Trade Opportunities

This tool will help you find opportunities to scratch your mutual backs. An opportunity is displayed as a cycle of names connected with arrows. An arrow from A to B (e.g. A → B) means A can grade the group B belongs to. All opportunities are cycles. So everyone involved finds a back to scratch, and someone to scratch their own back, even if the two happen to be different people.

If you have a preference to trade with your friends first, we can accomodate that too! Enter their name(s), (upto 3 other people) and the tool will find you cycles that contain all of the specified people. Happy trading!!! Praise be to the invisible hand!



Some Interesting Stuff

The following is a visualization of the how well each group can negotiate. Each node is a group and the arrows connecting them (A → B) show how many members from A can grade B.

Graph Was Supposed to Be Here

The first thing to catch the eye here is that some groups have arrows leading back to themselves!! After running some additional checks I found 31/78 of the folks in our class have been endowed with overly long arms that allow self-back self-scratching. Not all groups (incl. mine) are lucky enough to have had members assigned to grade ourselves though. So the details of these lucky long armed people and their groups are attached below.

Also the sizes of the nodes are different, based on how lucky they have gotten. The size is an increasing function of (# of grading others + # of self-grading - # of being graded by others)

Group Grading Statistics
Group Self Grading Count Grading Others Graded by Others C1 + C2 – C3
1 0 25 22 3
2 3 22 18 7
3 2 23 29 -4
4 2 23 21 4
5 3 22 25 0
6 3 22 31 -6
7 2 23 19 6
8 1 24 22 3
9 3 22 21 4
10 1 24 27 -2
11 3 22 25 0
12 2 23 21 4
13 2 23 17 8
14 0 25 16 9
15 1 19 19 1
16 3 17 26 -6
The Long Armed Tribe (assigned to grade own group)
Student ID Student Name Group
2024PGP003 Aakanksha Thakur 6
2024PGP005 Aakash Gaurav Patel 5
2021IPM005 Aaryan Jalan 2
2024PGP014 Abhijeet Kumar 8
2024PGP019 Abhishek Chauhan 4
2024PGP515 Aditi Maheshwari 3
2021IPM047 Gyaneshwar Mishra 10
2021IPM049 Harsh Agarwal 9
2024PGP183 Indani Khushi Shalimar 13
2024PGP212 Krishna Agrawal 7
2024PGP213 Krishna Jaisansaria 9
2024PGP216 Kumar Sarvesh 9
2024PGP231 Manan Pankaj Bothra 3
2021IPM082 Muskaan Agarwal 15
2024PGP551 Navya Joshi 12
2024PGP297 R Hari Prasad 6
2024PGP304 Rahul Sonthwal 4
2024PGP317 Revu Anurag 11
2024PGP327 Ritik Mehta 2
2024PGP338 Ruchita N Bhoj 16
2024PGP370 Sharath Rajesh Nair 16
2024PGP391 Shruti Sharma 5
2024PGP437 V S Vishruth 16
2024PGP441 Vandita Mahaur 2
2024PGP442 Vansh Pahuja 11
2024PGP446 Vibhu Sharma 7
2024PGP451 Vinayak Gupta 12
2024PGP463 Yudhajit Koley 13
2020IPM054 Gitesh Mukund Padmere 6
2024DPM21 Savya N 5
2024DPM01 Abhi Kapoor 11